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Math  /  Algebra

QuestionFind the slope and the yy-intercept. f(x)=−2x−3f(x)=-2 x-3
The slope is □\square □\square.
The yy-intercept is ( 0 , □\square ).

Studdy Solution

STEP 1

1. The function f(x)=−2x−3 f(x) = -2x - 3 is a linear function.
2. Linear functions are of the form y=mx+b y = mx + b , where m m is the slope and b b is the y y -intercept.

STEP 2

1. Identify the slope m m from the function.
2. Identify the y y -intercept b b from the function.

STEP 3

Identify the slope m m from the function f(x)=−2x−3 f(x) = -2x - 3 .
In the standard form y=mx+b y = mx + b , the coefficient of x x is the slope.
For f(x)=−2x−3 f(x) = -2x - 3 , the slope m m is:
m=−2 m = -2

STEP 4

Identify the y y -intercept b b from the function f(x)=−2x−3 f(x) = -2x - 3 .
In the standard form y=mx+b y = mx + b , the constant term is the y y -intercept.
For f(x)=−2x−3 f(x) = -2x - 3 , the y y -intercept b b is:
b=−3 b = -3
The slope is −2-2.
The y y -intercept is (0,−3) (0, -3) .

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